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Finding the Third Proportional to 416.47 and 627.91

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Solution

The third proportional to 416.47 and 627.91 is: 946.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.47 : 627.91 = 627.91 : x
  2. Step 2: Convert to fraction form
    416.47/627.91 = 627.91/x
  3. Step 3: Cross multiply
    416.47x = 627.91 × 627.91
  4. Step 4: Simplify right side
    416.47x = 394,268.71
  5. Step 5: Solve for x
    x = 394,268.71/416.47
  6. Step 6: Final answer
    x = 946.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.